Remember that when two numbers with the same sign are multiplied,
their product is always positive.
The premise of your question is false: -x³ is positive if x is negative.
== == The fact is - any nonzero number raised to 0 is always 1. the reason is: suppose a is nonzero. Then by the quotient rule of indices, am/an = am - n Taking m = n we come up with am - m = am/am , which is 1 in view of a nonzero.
Never.
It is always 1
Yes, always.
The absolute value is always positive.
An absolute value must be greater or equal to zero. If the absolute value is known to be nonzero then it must be greater than zero: that is, it must be positive. The product of two (or more) positive numbers must be positive.
The sum of zero and a negative integer can never be zero - it will always be negative and nonzero. Although zero is also an integer, it is neither negative nor positive and cannot be the other integer used.
The premise of your question is false: -x³ is positive if x is negative.
speed is a scalar quantity with magnitude only but no direction; velocity is a vector with both magnitude (speed) AND direction, which could be positive or negative
A rational number is always the result of dividing an integer when the divisor is nonzero.
Yes. But NOT always.
It is always positive, and not just for decimal numbers but for all numbers.
Sometimes.* If "n" is positive, "-n" is negative. * If "n" is negative, "-n" is positive. * If "n" is zero, "-n" is also zesro.
Yes.
The operation that will always have the result in value of 1 for any nonzero number is Inverse Operation of Multipication.
Actually the product of a nonzero rational number and another rational number will always be rational.The product of a nonzero rational number and an IRrational number will always be irrational. (You have to include the "nonzero" caveat because zero times an irrational number is zero, which is rational)